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Finding the Fourth Proportional to 665, 997.66 and 209

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Solution

The fourth proportional to 665, 997.66 and 209 is: 313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    665 : 997.66 = 209 : x
  2. Step 2: Convert to fraction form
    665/997.66 = 209/x
  3. Step 3: Cross multiply
    665x = 997.66 × 209
  4. Step 4: Simplify right side
    665x = 208,510.94
  5. Step 5: Solve for x
    x = 208,510.94/665
  6. Step 6: Final answer
    x = 313.55

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